Answer:
c is 30.
The angles, from left to right, are:
66, 94, and 20.
Step-by-step explanation:
The three angles form a straight angle. In other words, they sum to 180. So, we can write the following equation:
Let's solve for c. Combine like terms:
Add:
Subtract 15 from both sides:
Divide both sides by 5.5:
So, the value of c is 30.
Now, substitute it into each of the angles to find their respective measures.
Left-Most Angle:
We have:
Substitute 30 for c. This yields:
Multiply and add:
Middle Angle:
We have:
Substitute 30 for c:
Multiply and add:
Right-Most Angle:
We have:
Substitute 30 for c:
Multiply and add:
So, our angles, from left to right, are: 66, 94, and 20.
And the value of c is 30.
And we're done!